Class meets MWF 10:30-11:20, in Beardsley 316 (or, when the weather is acceptable, in the tent outside of Beardsley.)
My office is Sci 146, right across from the math lounge, and student office hours are
Wednesday 4:00-5:30 pm
Thursday 12:30-2:30 pm
By appointment (email amille11@swarthmore.edu)
The syllabus has so much information!!
PDFs of the in-class worksheets/ guided note taking are all in this folder.
Information about topic standards is here.
Homework assignments are here (and on Gradescope, where they should be turned in), best by extension request form is here.
Week 1: Linear combinations, vector equations, and span. (Section 1.3 of LLM plus IOLA)
Week 2, September 6-10: Linear (in)dependence (Section 1.7 of LLM plus IOLA)
Week 3, September 13-17: Systems of linear equations! (Sections 1.1-1.4, 1.7 of LLM)
Monday, September 13: How do we solve systems of linear equations in a systematic way? (1.1, 1.2)
Wednesday, September 15: Solution sets of linear equations. (1.2, 1.4)
Friday, September 17: Connecting to span and linear independence. (1.3, 1.4, 1.7)
Week 4, September 20-24: Matrix equations and linear transformations. (Sections 1.8 of LLM plus IOLA)
Monday, September 20: More connecting to span and linear independence (1.4, 1.7)
Wednesday, September 22: What is a linear transformation (1.8+ IOLA 2.1)
Friday, September 24: Constructing linear transformations with certain properties (IOLA 2.1, 2.2)
Week 5, September 27- October 1: More about linear transformations! (1.8 and 1.9 of LLM plus IOLA)
Monday, September 27: Linear transformations are matrices. (1.9)
Wednesday, September 29: What can you read off from the matrix of a linear transformation? (1.9)
Friday, October 1: Function composition and matrix multiplication (2.1, IOLA 2.3)
Week 6, October 4-8: More about matrices (2.1-2.3 of LLM and IOLA 2.4)
Monday, October 4: Matrix multiplication!
Wednesday, October 6: Invertible transformations and matrices.
Friday, October 8: Invertible Matrix Theorem
October 11-15: FALL BREAK
Week 7, October 18-22: Invertible matrices (2.2-2.3, 3.1-3.3 of LLM)
Monday, October 18: Elementary matrices, computing inverses, and the core of the IMT
Wednesday, October 20: Leontief Input-Output and Understanding Area
Friday, October 22: Determinants
Week 8, October 25-29: Determinants and abstract vector spaces (4.1-4.2)
Monday, October 25: Determinants, Day 2
Wednesday, October 27: Abstract vector spaces and subspaces (4.1)
Friday, October 29: Subspaces (4.1)
Week 9, November 1-5: Bases, coordinates and dimension (4.2-4.4)
Monday, November 1: Column and null space of matrices (4.2)
Wednesday, November 3: Bases (4.3)
Friday, November 5: Bases and coordinate systems (4.3-4.4)
Week 10, November 8-12: Dimension and understanding linear transformations (4.5, 4.7, IOLA 4)
Monday, November 8: Coordinates, dimension and rank (4.5-4.6)
Wednesday, November 10: Dimension and rank (4.5-4.6)
Friday, November 12: Application: Markov chains and Rank-Nullity (4.6, 4.8)
Week 11, November 15-19: Eigenstuff and IOLA (5.1-5.2)
Monday, November 15: Understanding linear transformations via stretch factors (IOLA 3.1, 3.2)
Wednesday, November 17: More on stretch factors plus change-of-basis matrix (IOLA 3.3)
Friday, November 19: Eigenstuff and the characteristic polynomial (IOLA 3.4)
Week 12, November 22-24: Eigenstuff continues (5.3)
Monday, November 22: Diagonalizing matrices.
Wednesday, November 24: Writing Workshop plus Practice Set
Week 13, November 29-December 3: Eigenstuff and applications
Week 14: December 6-8: More applications!
Sunday, December 12, 9:00 AM: Final Exam OR Portfolio due